# Probability

**Probability**

**Quicklinks**

*What are the different types of probability?*

*Define sample space, power set and events*

*How do you assign probability to an event?*

*How to denote the probability of an event?*

*What is the opposite or complement of an event?*

*What is the joint probability of two events?*

*What is the probability of independent events?*

*What is the probability of both the events occurring if they are mutually exclusive?*

*What is the probability of either of the events occurring if they are mutually exclusive?*

*What is the probability for not mutually exclusive events?*

*What are the rules of probability?*

*What is probability?*

**Probability**is the measure of the likelihood that an event will occur. Probability is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.

**Video: Probability for Beginners : Solving Math Problems**

**What are the different types of probability?**

**What are the different types of probability?**

**Video: Types of probability**

**Define sample space, power set and events**

**Define sample space, power set and events**

**Video: Experiment, Outcome, Sample space, and event**

*How do you assign probability to an event?*

**Video: Simple probability**

*How to denote the probability of an event?*

*A*is written as .......

### Let's Review

- ____ is the measure of the likelihood that an event will occur.
- Probability is quantified as a number between ____ and ____.
- There are two types of probability, namely ____ and ____ probability.
- Theoretical probability = Number of favorable outcomes / Total number of ____.
- Experimental probability = Number of favorable outcomes / Total number of ____.
- The collection of all possible results is called the ____ ____ of the experiment.
- The ____ ____ of the sample space is formed by considering all different collections of possible results.
- The probability of an event A is written as ____ , ____ , or ____ .
- If two events A and B occur on a single performance of an experiment, this is called the ____ or ____ ____ of A and B, denoted as
- If two events, A and B are independent then the ____ probability is for example, if two coins are flipped the chance of both being heads is.
- If two events are mutually exclusive then the probability of ____ occurring is denoted as .
- If two events are mutually exclusive then the probability of ____ occurring is denoted as . For example, the chance of rolling a 1 or 2 on a six-sided die is

### Answer

is the measure of the likelihood that an event will occur.**Probability**- Probability is quantified as a number between
and**0**__1.__ - There are two types of probability, namely
and**Theoretical**probability.**Experimental** - Theoretical probability = Number of favorable outcomes / Total number of
.**outcomes** - Experimental probability = Number of favorable outcomes / Total number of
.**trials** - The collection of all possible results is called the
__sample space__of the experiment. - The
of the sample space is formed by considering all different collections of possible results.__power set__ - The probability of an event A is written as
,__, or .__ - If two events A and B occur on a single performance of an experiment, this is called the
or**intersection**of A and B, denoted as**joint probability** - If two events, A and B are independent then the
probability is for example, if two coins are flipped the chance of both being heads is.**joint** - If two events are mutually exclusive then the probability of
occurring is denoted as . .**both** - If two events are mutually exclusive then the probability of
occurring is denoted as . For example, the chance of rolling a 1 or 2 on a six-sided die is**either**

### Test Your Knowledge

‹ Three dimensional figures video up Combination ›

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